Exponential Vocabulary
Growth or Decay Part 1
Growth or Decay Part 2
Word Problems
Exponential Equations
100
If, y=a(b)x, What do a and b represent?
a=initial amount/y-intercept
b=multiplier (common ratio)(growth or decay factor)
100
f(x)=2(0.93)x
Does this functions represent exponential growth or decay?
Exponential Decay
100
A bunny population doubles every year. If the starting population is 10, write an exponential function to model the situation.
f(x)= 10(2)x
100
2243
100
Find x:
3^x=3^7
What is x=7?
200
Which number is the y-intercept and which is the multiplier for the function f(x)=2(3)x
y-intercept=2
multiplier= 3
200
Is the function exponential growth or decay? 
Decay
200
In exponential functions, when b>1 this will cause an exponential growth or decay?
Exponential growth
200
What will be the cost in 17 years?
$32,313.27
200
Find x:
3^(4x)=3^12
What is x=3?
300
What is the y-intercept for the graph below?
y = 1•2^x
300
How do I know if an exponential function is exponential decay from an equation?
If the b is in between 0 and 1
300
f(x)=5(1.07)x
Does this functions represent exponential growth or decay? What's the percent growth/decay factor?
Exponential Growth. 7%.
300
Ms. Wiggins purchased a car for 26,400 and every year it decays by 12%. Write an exponential function to model the situation.
f(x) = 26,400(0.88)x
300
Find x:
3^(5x-1)=3^(4x+2)
What is x=3?
400
What's the multiplier? (the b value in the equation)
b=2
400
Write an exponential function that goes through the points (0, 3.5) and (2, 31.5)
y=3.5(3)x
400
Does the graph represent exponential growth or decay?
Exponential Growth
400
16,941 people
400
Find x:
3^(2x)=6561
What is x=4?
500
What is the difference between linear functions and Exponential functions?
Linear has a constant difference (constant rate of change)
Exponential has a constant multiplier
500
f(x) = 4(0.8)x
What is the percent of decay?
20% decay
500
Annual sales of a fast food restaurant are $530,000 and increasing at a rate of 5%. Write an exponential function to model the situation.
f(x) = 530,000(1.05)x
500
Is the scenario below linear, quadratic, or exponential?
The population of bacteria halves every hour.
exponential
500
Find x:
(1/3)^x=243
What is x=-5?